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Finding the Fourth Proportional to 3,981, 5,494.50 and 2,303.48

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Solution

The fourth proportional to 3,981, 5,494.50 and 2,303.48 is: 3,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981 : 5,494.50 = 2,303.48 : x
  2. Step 2: Convert to fraction form
    3,981/5,494.50 = 2,303.48/x
  3. Step 3: Cross multiply
    3,981x = 5,494.50 × 2,303.48
  4. Step 4: Simplify right side
    3,981x = 12,656,470.86
  5. Step 5: Solve for x
    x = 12,656,470.86/3,981
  6. Step 6: Final answer
    x = 3,179.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.